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- Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree 素数阶群按树上有限交换幂零半群的单纯理想扩张
- Key words: I3-semigroup; nilpotent semigroup; nilpotent index; ergodic divisors set; total divisors set 作者简介:黄允宝(1963-);男;浙江义乌人;杭州师范学院数学系副教授;目前主要研究字的组合理论.
- nilpotent semigroup 幂零半群
- IS SUBALGEBRA GENERATED BY NILPOTENT ELEMENTS NILPOTENT_? 幂零元生成的子代数是幂零吗?
- The latter two published a monograph on semigroup theory in 1961. 后面二人在 1961 年出版了半群理论的专论。
- A construction theorem for such semigroup is obtained. 给出该类半群的一个构造定理.
- This paper first presents the definition of nilpotent matrix and t... 本文先给出幂零矩阵的定义,然后讨论了它的若干性质。
- It follows that every nonempty periodic semigroup has at least one idempotent. 得出了所有非空周期半群都有至少一个幂等元。
- A semigroup generated by a single element is said to be monogenic (or cyclic ). 被一个单一元素生成的半群叫做 单基因 的(或 循环 的)。
- The minimal ideal of a commutative semigroup, when it exists, is a group. 交换半群的极小理想如果存在的话是个群。
- A semigroup is said to be periodic if all of its elements are of finite order. 半群被称为 周期性 的,如果所有它的元素有着有限次序。
- Let R be a ring,B(R) be a Baer radicial of R,N be the set of all nilpotent elements of R. 设 R 为环,B(R)为 R 的 Baer 根,N 为 R 的全体幂零元构成的集合。
- This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them. 本文先给出幂零矩阵的定义,然后讨论了它的若干性质。
- In this note we describe explicitly the subalgebras of nilpotent matrices and obtain some interesting results. 摘要本文较详细地描述了幂零矩阵子代数,并且获得了一些有趣的结果。
- In this paper, the following results are proved: Let L be transitive on E(G) and abelian or nilpotent, then no nK_2 graph G has disjoint maximal line-independent Sets. 证明了当群关于可迁且为阿贝尔群或幂零群时;每个非图包含两个不相交的最大线独立集.
- We reprove the following theorem with a simpler means:Theorem: let A is the solvable algebra, then A is the local nilpotent algebra. 用一种简单的方法重新证明了以下定理:定理:假设A是可解的交错代数;则A是局部幂零的交错代数.
- For example, every nonempty finite semigroup is periodic, and has a minimal ideal and at least one idempotent. 例如,所有非空有限半群是周期性的,并有一个极小理想和至少一个幂等元。
- Then,two important structural theorem are obtained by the special structure of Clifford semigroup. 其次,根据C lifford半群是群强半格的特殊结构,得到了C lifford半群的幂半群的两个重要的结构定理。
- By means of the equality it is simpler to prove some properties of the adjoint matrix,especially for the idempotent and nilpotent matrices. 此外;应用这一等式;十分简洁地证明了关于伴随矩阵的若干性质.;尤其是关于幂等和幂零阵的伴随阵的性质证明
- It is proved that the Frattini subalgebra of a complete Lie algebra with abelian nilpotent radical is the zero subalgebra. 证明了特征零代数闭域上的具有交换幂零根基的完备Lie代数的Fratini子代数为零。